Superintegrability of Calogero–Moser systems associated with the cyclic quiver
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Publication:5157826
DOI10.1088/1361-6544/ac2674zbMath1479.70044arXiv2101.05520OpenAlexW3118490742MaRDI QIDQ5157826
Publication date: 20 October 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.05520
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Representations of quivers and partially ordered sets (16G20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
Related Items (4)
Algebra of Dunkl Laplace-Runge-Lenz vector ⋮ Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of \({\mathrm{U}}(n)\) ⋮ Many-body integrable systems implied by WLZZ models ⋮ Matrix and vectorial generalized Calogero-Moser models
Cites Work
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- Generalized spin Sutherland systems revisited
- On the symplectic structure of instanton moduli spaces
- Spin Calogero models obtained from dynamical \(r\)-matrices and geodesic motion
- Sutherland models for complex reflection groups
- A generalisation of the Calogero-Moser system
- A new class of integrable systems and its relation to solitons
- Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
- Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
- Three integrable Hamiltonian systems connected with isospectral deformations
- Completely integrable Hamiltonian systems connected with semisimple Lie algebras
- Some finite dimensional integrable systems and their scattering behavior
- Generalized Liouville method of integration of Hamiltonian systems
- Master integrals, superintegrability and quadratic algebras
- Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems
- A class of integrable spin Calogero-Moser systems
- Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals
- On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system
- On a family of quivers related to the Gibbons-Hermsen system
- Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models
- On the superintegrability of the rational Ruijsenaars-Schneider model
- Algebraic linearization of dynamics of Calogero type for any Coxeter group
- Duality between the trigonometricBCnSutherland system and a completed rational Ruijsenaars–Schneider–van Diejen system
- Double Poisson algebras
- Recollement of Deformed Preprojective Algebras and the Calogero-Moser Correspondence
- Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins
- Spin versions of the complex trigonometric Ruijsenaars–Schneider model from cyclic quivers
- Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver
- Superintegrable systems and Riemann-Roch theorem
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
- KP hierarchy for the cyclic quiver
- The role of commuting operators in quantum superintegrable systems
- New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates
- A new way to classify 2D higher order quantum superintegrable systems
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